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Inspired by the Equation-Free paradigm, we propose an ``embed-learn-lift'' framework for constructing minimal-dimensional surrogate ROMs for the numerical analysis of high-fidelity Navier-Stokes simulations, even in the presence of…

This work introduces a novel approach for data-driven model reduction of time-dependent parametric partial differential equations. Using a multi-step procedure consisting of proper orthogonal decomposition, dynamic mode decomposition and…

Numerical Analysis · Mathematics 2022-11-23 Martin W. Hess , Annalisa Quaini , Gianluigi Rozza

Stochastic collocation (SC) is a well-known non-intrusive method of constructing surrogate models for uncertainty quantification. In dynamical systems, SC is especially suited for full-field uncertainty propagation that characterizes the…

Numerical Analysis · Mathematics 2023-10-18 Saibal De , Reese E. Jones , Hemanth Kolla

This work proposes a new machine learning (ML)-based paradigm aiming to enhance the computational efficiency of non-equilibrium reacting flow simulations while ensuring compliance with the underlying physics. The framework combines…

Computational Physics · Physics 2023-09-25 Ivan Zanardi , Simone Venturi , Marco Panesi

Time dependent reliability analysis and uncertainty quantification of structural system subjected to stochastic forcing function is a challenging endeavour as it necessitates considerable computational time. We investigate the efficacy of…

Machine Learning · Statistics 2022-02-01 Shailesh Garg , Harshit Gupta , Souvik Chakraborty

Redundant architectures can improve the reliability of complex systems. However, component dependencies can affect the architecture and negate the benefit of redundancy. In this paper, we develop three component dependency models and…

Applications · Statistics 2024-02-29 Tim Maurice Julitz , Antoine Tordeux , Nadine Schlüter , Manuel Löwer

Efficient surrogate modelling is a key requirement for uncertainty quantification in data-driven scenarios. In this work, a novel approach of using Sparse Random Features for surrogate modelling in combination with self-supervised…

Machine Learning · Computer Science 2023-01-02 Maternus Herold , Anna Veselovska , Jonas Jehle , Felix Krahmer

Triple Modular Redundancy (TMR) is one of the most common techniques in fault-tolerant systems, in which the output is determined by a majority voter. However, the design diversity of replicated modules and/or soft errors that are more…

Hardware Architecture · Computer Science 2023-07-06 Jafar Vafaei , Omid Akbari , Muhammad Shafique , Christian Hochberger

Stochastic multi-agent systems are a central modeling framework for autonomous controllers, communication protocols, and cyber-physical infrastructures. In many such systems, however, transition probabilities are only estimated from data…

Logic in Computer Science · Computer Science 2026-02-17 Raphaël Berthon , Joost-Pieter Katoen , Munyque Mittelmann , Aniello Murano

Reliability-based design optimization (RBDO) is traditionally formulated as a nested optimization and reliability problem. Although surrogate models are generally employed to improve efficiency, the approach remains computationally…

Computation · Statistics 2026-04-08 M. Moustapha , B. Sudret

This paper addresses the problem of inferring a hybrid automaton from a set of input-output traces of a hybrid system exhibiting discrete mode switching between continuously evolving dynamics. Existing approaches mainly adopt a…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Hengzhi Yu , Bohan Ma , Mingshuai Chen , Huangying Dong , Jie An , Bin Gu , Naijun Zhan , Jianwei Yin

Machine learning methods are increasingly used to build computationally inexpensive surrogates for complex physical models. The predictive capability of these surrogates suffers when data are noisy, sparse, or time-dependent. As we are…

Machine Learning · Computer Science 2024-05-20 A. Diaw , M. McKerns , I. Sagert , L. G. Stanton , M. S. Murillo

Hardware-aware Neural Architecture Search (NAS) is one of the most promising techniques for designing efficient Deep Neural Networks (DNNs) for resource-constrained devices. Surrogate models play a crucial role in hardware-aware NAS as they…

Machine Learning · Computer Science 2025-08-05 Azaz-Ur-Rehman Nasir , Samroz Ahmad Shoaib , Muhammad Abdullah Hanif , Muhammad Shafique

We propose a statistical-stochastic surrogate modeling approach to predict the response of the mean and variance statistics under various initial conditions and external forcing perturbations. The proposed modeling framework extends the…

Data Analysis, Statistics and Probability · Physics 2023-04-07 Di Qi , John Harlim

Delayed-acceptance is a technique for reducing computational effort for Bayesian models with expensive likelihoods. Using a delayed-acceptance kernel for Markov chain Monte Carlo can reduce the number of expensive likelihoods evaluations…

Computation · Statistics 2026-01-07 Joshua J Bon , Anthony Lee , Christopher Drovandi

A key bottleneck in quantum machine learning is the computational cost of repeated quantum circuit evaluations during the inference phase. To address this, we present a framework for constructing fast, cheap, provably accurate classical…

Quantum Physics · Physics 2026-04-29 Sreeraj Rajindran Nair , Christopher Ferrie

Aerodynamic shape optimization in industry still faces challenges related to robustness and scalability. This aspect becomes crucial for advanced optimizations that rely on expensive high-fidelity flow solvers, where computational budget…

Fluid Dynamics · Physics 2025-05-26 Marc Schouler , Anca Belme , Paola Cinnella

In modern engineering, computer simulations are a popular tool to analyse, design, and optimize systems. Furthermore, concepts of uncertainty and the related reliability analysis and robust design are of increasing importance. Hence, an…

Computation · Statistics 2017-05-12 R. Schöbi , B. Sudret

A meta-model (or a surrogate model) is the modern name for what was traditionally called a response surface. It is intended to mimic the behaviour of a computational model M (e.g. a finite element model in mechanics) while being inexpensive…

Methodology · Statistics 2012-03-12 Bruno Sudret

Discrete-time stochastic systems are an essential modelling tool for many engineering systems. We consider stochastic control systems that are evolving over continuous spaces. For this class of models, methods for the formal verification…

Systems and Control · Computer Science 2018-11-29 Sofie Haesaert , Sadegh Soudjani